AND THE DIVER BECOMES A SWIMMER
ORAL
Abstract
in a layer of stably stratified salt water. By varying periodically the hydrostatic pressure, the ludion
initially positioned at its equilibrium height oscillates vertically. Depending on the ratio of the forcing frequency to
the buyancy frequency N of the stratified fluid, the ludion can emit its own internal gravity waves that we
measure by Particle Image Velocimetry. Our experimental results describe first the resonance of the vertical
motions of the ludion when excited at different frequencies taking
into account added mass and added friction coefficients (Voisin, 2007). Then, for the larger oscillation amplitudes,
we observe and describe a bifurcation towardsfree horizontal swimming with chaotic trajectories.
The statistical analysis suggests the existence of an underlying non equilibrium thermodynamics with even possible
”condensations” of ludions in pairs or in triplets when several
ludions are introduced in the container. Finally, we also observed that the ludion can interact with its own internal
gravity wave field and possibly become trapped in the container gravity eigenmodes. However, it seems that,
contrary to the surface waves associated with Couder walkers (Couder et al., 2005) the internal waves are
not the principal cause of the horizontal swimming (Deng et Caulfield, 2018). This does not however, exclude
possible hydrodynamic quantum analogies to be explored in the future (Couder et al., 2005, Bush, 2015).
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Publication: Bush J. (2015). Pilot-wave hydrodynamics. Ann. Rev. Fluid Mech. 47, 269–292.<br>Couder Y., Proti `ere S., Fort E., Boudaoud A. (2005). Walking and orbiting droplets. Nature 437, 208–.<br>Deng J., Caulfield C. P. (2018). Horizontal locomotion of a vertically flapping oblate spheroid. J. Fluid Mech. 840, 688–708.<br>Voisin B. (2007, Dec). Added mass effects on internal wave generation. In 5th International Symposium on Environmental Hydraulics,<br>Tempe, United States, pp. Compact disk of the Conference. URL: https://hal.archives-ouvertes.fr/hal-00268817.
Presenters
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Patrice Le Gal
Aix-Marseille University, CNRS, Centrale Marseille
Authors
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Patrice Le Gal
Aix-Marseille University, CNRS, Centrale Marseille
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Benjamin Castillo Morales
Departamento de F`ısica, Facultad de Ciencias,, Universidad Nacional Autonoma de Mexico, 04510, Mexico
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Sergio Hernandez Zapata
Departamento de F`ısica, Facultad de Ciencias,, Universidad Nacional Autonoma de Mexico, 04510, Mexico
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Gerardo Ruiz Chavarria
Departamento de F`ısica, Facultad de Ciencias,, Universidad Nacional Autonoma de Mexico, 04510, Mexico